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Mathematical Sciences

Future behavior of some geometric evolution equations in math and General Relativity

Date: 3:30pm - 4:30pm PDT September 10 Location: Howard 135 (next to SQRC)

Howard 135 (next to SQRC)

Differential equations arise naturally in physics problems as well as purely mathematical questions. Since these generally do not have nice solutions, the question becomes “What are solutions like?” Evolution equations that are geometric often have rather nice answers to this question. I’ll introduce asymptotics with some ordinary differential equations and then talk about some purely mathematical geometric evolution equations. I’ll end by describing the Einstein Field Equations which have their roots in general relativity, and some resolved questions about them, as well as some open problems.